According to the wikipedia entry on the fine-structure constant:
In fact, α is one of the about 20 empirical parameters in the Standard Model of particle physics, whose value is not determined within the Standard Model.
but, the wikipedia list of parameters does not mention α:
me Electron mass 511 keV mμ Muon mass 105.7 MeV mτ Tau mass 1.78 GeV mu Up quark mass μMS = 2 GeV 1.9 MeV md Down quark mass μMS = 2 GeV 4.4 MeV ms Strange quark mass μMS = 2 GeV 87 MeV mc Charm quark mass μMS = mc 1.32 GeV mb Bottom quark mass μMS = mb 4.24 GeV mt Top quark mass On-shell scheme 172.7 GeV θ12 CKM 12-mixing angle 13.1° θ23 CKM 23-mixing angle 2.4° θ13 CKM 13-mixing angle 0.2° δ CKM CP-violating Phase 0.995 g1 or g' U(1) gauge coupling μMS = mZ 0.357 g2 or g SU(2) gauge coupling μMS = mZ 0.652 g3 or gs SU(3) gauge coupling μMS = mZ 1.221 θQCD QCD vacuum angle ~0 v Higgs vacuum expectation value 246 GeV mH Higgs mass ~ 125 GeV (tentative)
Is α one of the basic parameters of the Standard Model?
If not, then is there a simple formula for α in terms of these other parameters?
(My guess is that α can be derived from g1/g2/g3. However, I have been unable to find an explicit formula so far.)